Question
piece-wise function \( f(x)=\left\{\begin{array}{ll}x+2 & \text { if } x \leq-1 \\ 2 x+4 & \text { if } x>-1\end{array}\right. \) \( f(-4)=[?] \)
Ask by Fowler Pollard. in the United States
Mar 14,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( f(-4) = -2 \)
Solution
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The Deep Dive
To find \( f(-4) \), we need to determine which part of the piece-wise function to use. Since \(-4\) is less than \(-1\), we’ll use the first part of the function: \( f(x) = x + 2 \). Substituting \(-4\) into the function: \[ f(-4) = -4 + 2 = -2 \] Therefore, \( f(-4) = -2 \).
